The blowup method

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter deals with geometric desingularization of nonhyperbolic equilibrium points using the so-called blowup method. The main insight, due to Dumortier and Roussarie, is that singularities at which fast and slow directions interact may be converted into partially hyperbolic problems using the blowup method. The method inserts a suitable manifold, e.g., a sphere, at the singularity.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages159-196
Number of pages38
DOIs
StatePublished - 2015
Externally publishedYes

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume191
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Fingerprint

Dive into the research topics of 'The blowup method'. Together they form a unique fingerprint.

Cite this